Compare 2/27 and 21/56
2/27 is smaller than 21/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
2/27 = 2 × 56/27 × 56 = 112/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
21/56 = 21 × 27/56 × 27 = 567/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/1512 < 567/1512 or 2/27 < 21/56
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